Abstract: A counting system includes a counting apparatus, which includes a plurality of multi-sensor detectors configured to detect physical contact data and vertical range data corresponding to one or more steps across the multi-sensor detectors, and first circuitry configured to determine physical contact vectors and coordinate data from the physical contact data and the vertical range data. The counting system also includes at least one server including second circuitry configured to receive the physical contact vectors and the coordinate data from the counting apparatus, determine footprint patterns and body patterns based on the physical contact vectors and the coordinate data, and estimate a number of beings passing over the counting apparatus based on the footprint patterns and the body patterns.

Abstract: Low-dimensional structure from high-dimensional data is described for example, in the context of video foreground/background segmentation, speech signal background identification, document clustering and other applications where distortions in the observed data may exist. In various embodiments a first convex optimization process is used to find low dimensional structure from observations such as video frames in a manner which is robust to distortions in the observations; a second convex optimization process is used for incremental observations so bringing computational efficiency whilst retaining robustness. In various embodiments error checks are made to decide when to move between the first and second optimization processes. In various examples, the second convex optimization process encourages similarity between the solution it produces and the solution of the first convex optimization process, for example, by using an objective function which is suitable for convex optimization.

Abstract: A counting system includes a counting apparatus, which includes a plurality of multi-sensor detectors configured to detect physical contact data and vertical range data corresponding to one or more steps across the multi-sensor detectors, and first circuitry configured to determine physical contact vectors and coordinate data from the physical contact data and the vertical range data. The counting system also includes at least one server including second circuitry configured to receive the physical contact vectors and the coordinate data from the counting apparatus, determine footprint patterns and body patterns based on the physical contact vectors and the coordinate data, and estimate a number of beings passing over the counting apparatus based on the footprint patterns and the body patterns.

Abstract: Low-dimensional structure from high-dimensional data is described for example, in the context of video foreground/background segmentation, speech signal background identification, document clustering and other applications where distortions in the observed data may exist. In various embodiments a first convex optimization process is used to find low dimensional structure from observations such as video frames in a manner which is robust to distortions in the observations; a second convex optimization process is used for incremental observations so bringing computational efficiency whilst retaining robustness. In various embodiments error checks are made to decide when to move between the first and second optimization processes. In various examples, the second convex optimization process encourages similarity between the solution it produces and the solution of the first convex optimization process, for example, by using an objective function which is suitable for convex optimization.